The geometric mean is not defined when any observation is: MCQ with Answer and Explanation

Question
The geometric mean is not defined when any observation is:
A. Zero or negative
B. Greater than 1
C. Positive
D. A fraction
Answer: Option A
Solution (By JKSSB Mock Tests)
GM requires all values to be strictly positive; zero or negatives make it undefined.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
In a frequency distribution, the class width is 8, and the mid-value of a class is 42. The lower limit of that class is:
A. 34
B. 38
C. 36
D. 40
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Correct Answer: Option B

Explanation:
Lower limit = mid-value - width/2 = 42 - 4 = 38.
This question belongs to: Accountancy and Statistics Statistics
Question #2
Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency.
A. A true, R false
B. Both A and R true, and R is correct explanation of A
C. Both A and R true, but R is not correct explanation
D. A false, R true
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Correct Answer: Option C

Explanation:
The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.
This question belongs to: Accountancy and Statistics Statistics
Question #3
The base year for the current series of Wholesale Price Index (WPI) introduced in 2017 is:
A. 2011-12
B. 2017-18
C. 2004-05
D. 2015-16
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Correct Answer: Option A

Explanation:
The base year of the revised WPI series launched in 2017 is 2011-12.
This question belongs to: Accountancy and Statistics Statistics
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